Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
364 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 113 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#13094047 | C2 | semidirect |
| 2. #135×D47 | C2 | semidirect |
| 3. #15689565 | C2 | semidirect |
| 4. #15689564 | C2 | semidirect |
| 5. #15689561 | C2 | semidirect |
| 6. #15689560 | C2 | semidirect |
| 7. #15689558 | C2 | semidirect |
| 8. #15689556 | C2 | semidirect |
| 9. #15689554 | C2 | semidirect |
| 10. M32×D47 | C2 | semidirect |
| 11. C47×#510 | C2 | semidirect |
| 17. #13094047 | C22 | semidirect |
| 18. #13094047 | C22 | semidirect |
| 22. #13094043 | C22 | semidirect |
| 23. Q16×D47 | C22 | semidirect |
| 26. C2×D376 | C22 | semidirect |
| 27. D8×D47 | C22 | semidirect |
| 29. #13093970 | C22 | semidirect |
| 30. #13093969 | C22 | semidirect |
| 31. #13093967 | C22 | semidirect |
| 32. #13093967 | C22 | semidirect |
| 33. D752 | C22 | semidirect |
| 34. #13093965 | C22 | semidirect |
| 35. #13093964 | C22 | semidirect |
| 36. #13093963 | C22 | semidirect |
| 37. C16×D47 | C22 | semidirect |
| 39. C2×Q16×C47 | C22 | semidirect |
| 40. Q32×C47 | C22 | semidirect |
| 41. SD32×C47 | C22 | semidirect |
| 42. M32×C47 | C22 | semidirect |
| 151. #510 | D47 | semidirect |
| 158. C47 | #3414 | semidirect |
| 172. C2×Q16 | C2×D47 | semidirect |
| 179. Q32 | C2×D47 | semidirect |
| 183. SD32 | C2×D47 | semidirect |
| 188. M32 | C2×D47 | semidirect |